Q4: We want to design a causal discrete-time system LTI system with the property that if the input is: x(n) = (-)" u(n)-(2) u(n − 1) then the output is n y(n) = ()* u(n) (a) Determine the impulse response h(n) and the system function H(z) of the system that satisfies the foregoing conditions. (b) Find the difference equation that characterize this system. (c) Determine a realization of the system that requires the minimum possible amount of memory. (d) Determine if the system is stable.

Q4: We want to design a causal discrete-time system LTI system with the property that if the input is: x(n) = (-)" u(n)-(2) u(n − 1) then the output is n y(n) = ()* u(n) (a) Determine the impulse response h(n) and the system function H(z) of the system that satisfies the foregoing conditions. (b) Find the difference equation that characterize this system. (c) Determine a realization of the system that requires the minimum possible amount of memory. (d) Determine if the system is stable.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

I ONLY NEED PROBLEM 5, PROBLEM 4 IS JUST A REFERENCE.
Please explain the question in detail and answer step by step.
3. a) Determine the total solution for n 20 of a discrete-time system characterized by the following difference equation: y[n]+y[n 1]-6y[n-2] =x[n]. for an input x[n] = (-3)"u[n] and with the initial conditions y(-1) = 1 and y(-2) = -1. b) Classify the time invariancy property of the following system with graphical representation: (i) y(n) = nx(n-1), (ii) y(n) = x(2n-1). For graphical representation, let x(n) = {0, 1, 2, 1, 0).
A unity feedback temperature control system has the following forward transfer function. K(s + 20) s?(s + 10)(s + 4) G(s) Find the value of K to yield temperature steady state error of 20%. [5 marks]
(a) The continuous plant G(s) = -10 (S-1) s+5 is controlled by adjusting a gain K. Here, the plant is coupled with sample and hold devices. Moreover, information of the output y is sent to the input r via a communication network, which is shared by other users and thus results in a delay of T seconds in the feedback process. The block-diagram for the control system is shown below y (t) y (KT) K ZOH G(s) + Network y (t-T) Delay Assuming that the sampling period is T = 0.1 s, answer the following questions. 7 5.1 Here, the ZOH equivalent of G(s) is given as GGzoh (2) (1-2¹)z -110 (S-1)-10z+10.79 -)2 {t" { 10 (4+5))}} for T = 0.1 S Z-0.6065 Determine the closed-loop transfer function Y(z)/R(z)
Q1: For the causal system shown in the figure below (a) Find and sketch, the first five samples of the impulse response A[n] and step response s[n] (b) Determine the final value of s[n] as n—oo (c) Find the response to a rectangular pulse input with pulse duration equal 5. x[n] 0 yln] — —> T (05)—
Please solve it
Graphical method
A discrete-time system is defined as: p(1) -n-1) = x(n-1) Input x[n] and output y[n] is valid for n 2 0, and zero for n < 0. Assume the input is an impulse function, 8[n]. Is this system is a finite impulse response (FIR) or an infinite impulse response (IIR) system? Give your reason. (ii) Calculate the output y(n) for 0
Control system engineering....
The control system manages, commands, directs, or regulates the behavior of other devices or systems using control loops